12831682248 has 384 divisors, whose sum is σ = 44381675520. Its totient is φ = 3253063680.

The previous prime is 12831682207. The next prime is 12831682273. The reversal of 12831682248 is 84228613821.

12831682248 is a `hidden beast` number, since 12 + 8 + 316 + 82 + 248 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57541065 + ... + 57541287.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 2^12831682248 is an apocalyptic number.

12831682248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12831682248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190837760).

12831682248 is an abundant number, since it is smaller than the sum of its proper divisors (31549993272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12831682248 is a wasteful number, since it uses less digits than its factorization.

12831682248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 12831682248 in words is "twelve billion, eight hundred thirty-one million, six hundred eighty-two thousand, two hundred forty-eight".